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2104200400 = 24525260501
BaseRepresentation
bin111110101101011…
…1000110011010000
312102122102110022011
41331122320303100
513302133403100
6544444152304
7103100260021
oct17532706320
95378373264
102104200400
1198a8479a5
124a8838694
13276c2b9c3
1415d660c48
15c4ae6bba
hex7d6b8cd0

2104200400 has 30 divisors (see below), whose sum is σ = 5055342422. Its totient is φ = 841680000.

The previous prime is 2104200383. The next prime is 2104200409. The reversal of 2104200400 is 40024012.

It can be written as a sum of positive squares in 3 ways, for example, as 391564944 + 1712635456 = 19788^2 + 41384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104200409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2629851 + ... + 2630650.

Almost surely, 22104200400 is an apocalyptic number.

2104200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104200400 is an abundant number, since it is smaller than the sum of its proper divisors (2951142022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2104200400 is a wasteful number, since it uses less digits than its factorization.

2104200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260519 (or 5260508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2104200400 is about 45871.5641765135. The cubic root of 2104200400 is about 1281.4323971144.

Adding to 2104200400 its reverse (40024012), we get a palindrome (2144224412).

The spelling of 2104200400 in words is "two billion, one hundred four million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5260501 10521002 21042004 26302505 42084008 52605010 84168016 105210020 131512525 210420040 263025050 420840080 526050100 1052100200 2104200400